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Finding the Third Proportional to 7,122,951 and 14,497,422.19

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Solution

The third proportional to 7,122,951 and 14,497,422.19 is: 29,506,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122,951 : 14,497,422.19 = 14,497,422.19 : x
  2. Step 2: Convert to fraction form
    7,122,951/14,497,422.19 = 14,497,422.19/x
  3. Step 3: Cross multiply
    7,122,951x = 14,497,422.19 × 14,497,422.19
  4. Step 4: Simplify right side
    7,122,951x = 210,175,250,082,617.28
  5. Step 5: Solve for x
    x = 210,175,250,082,617.28/7,122,951
  6. Step 6: Final answer
    x = 29,506,766.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.